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Math lesson plan · 7th grade (Year 8 in England) · 45 minutes

Add integers using sign rules

Number sense

CCSS 7.NS.A.1.BCCSS 7.NS.A.1.DEngland: KS3 NumberEngland: GCSE Foundation Number

Objective and success criteria

Students will: Add integers using sign rules.

  • I can answer questions on today's skill on my own, without help.
  • I can explain each step and say why it works.
  • I can check my answer and spot a mistake.

Before and after

Needs first: Add integers with number-line jumps

Leads to: Subtract integers by adding the opposite; Collect like terms with negative coefficients

Materials: Place value chart, Base-ten blocks or a number line, Mini whiteboards and pens, Printed student sheet (below).

Warm-up · 5 min

  • Quick retrieval from earlier learning (Add integers with number-line jumps). Students answer on mini whiteboards.
  • Show answers together and note who needs support in the main task.

Hook · 5 min

  • Show a number in the news or a price tag and ask what each digit is worth.
  • Share the objective: Add integers using sign rules. Read the success criteria together.

I do: model it · 10 min

  • Work through the example out loud, saying why you do each step, not just what you do.
  • Example: −56 + (−45) = ?
  • Step 1: 56 + 45 = 101
  • Step 2: −56 + (−45) = −101
  • Answer: -101
  • Pause after each step and ask a student to say what comes next.

We do: guided practice · 10 min

  • Do these together. Students try each step on whiteboards before you reveal it.
  • Use the hints as prompts rather than giving the answer.
  1. −35 + (−5) = ? → -40Prompt: Same signs: add the sizes and keep the sign.
  2. 50 + 32 = ? → 82Prompt: Different signs: subtract the smaller size from the larger size.

You do: independent practice · 10 min

  • Students work on the student sheet. Circulate and check the first two answers of every student early.
  • Students who finish: write a question of their own for a partner, with the answer.

The 8 questions are on the student sheet below, with answers in the key.

Exit ticket · 5 min

  • Two questions on their own. Sort answers into got it / nearly / not yet to plan the next lesson.
  1. 13 + 11 + (−11) + 20 = ? → 33Prompt: Add all the positives together and all the negatives together.
  2. 79 + (−51) = ? → 28Prompt: Different signs: subtract the smaller size from the larger size.

Watch out for

  • Reading 1,045 as one thousand four hundred five: point to each place and say its value.
  • Thinking a longer number is always bigger, even with decimals (0.45 vs 0.5).

Support and stretch

Support

  • Review first: Add integers with number-line jumps.
  • Use concrete materials: place value chart.
  • Give the first step of each question, or a partly worked example to finish.
  • Pair with a confident partner for the guided practice.

Stretch

  • Move on to: Subtract integers by adding the opposite; Collect like terms with negative coefficients.
  • Explain a common mistake in writing and how to fix it.
  • Write a word problem that uses today's skill, then solve a partner's.

Homework and more practice

Free online practice with hints and printable worksheets for this skill: eurekami.com/math/grade-7.

Free lesson plan from eurekami.com/lesson-plan-builder

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Add integers using sign rules

Name

Date

Score/ 8

  1. Question 1

    −40 + (−44) = ?

    Answer

  2. Question 2

    −52 + (−36) = ?

    Answer

  3. Question 3

    9 + (−14) + 17 + 9 = ?

    Answer

  4. Question 4

    −56 + (−10) = ?

    Answer

  5. Question 5

    74 + (−54) = ?

    Answer

  6. Question 6

    1 + (−9) + 15 + (−16) = ?

    Answer

  7. Question 7

    −47 + (−13) = ?

    Answer

  8. Question 8

    10 + (−58) = ?

    Answer

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Answer key: Add integers using sign rules

  1. 1. -84

  2. 2. -88

  3. 3. 21

  4. 4. -66

  5. 5. 20

  6. 6. -9

  7. 7. -60

  8. 8. -48